Existence and uniqueness for the equations of the joule-thomson effect
Giovanni Cimatti · Applicable Analysis · 1991
The electrical heating of a conductor obeying the Wiedemann-Pranz law is studied taking into account the Thomson's effect. Using a suitable transformation, the nonlinear elliptic system governing the problem is put in divergence form. The new formulation permits to find a bound for the temperature, to prove a theorem of existence and, in a special case, a result of uniqueness